3 papers
math.DS2003
On projections onto odometers of dynamical systems with the compact phase space
Eugene Polulyakh
We investigate projections to odometers (group rotations over adic groups) of topological invertible dynamical systems with discrete time and compact Hausdorff phase space. For a d…
math.GT2000
On the theorem converse to Jordan's curve theorem
Eugene Polulyakh
Theorem converse to Jordan's curve theorem says that {\it if a compact set has two complementary domains in , from each of which it is at every point accessible, it is a…
math.GT1999
On imbedding of closed 2-dimensional disks into
Eugene Polulyakh
Let be a topological space, -- opened subset of . We will say that point is {\it accessible} from if there exists continuous injective mapping $ϕ:…